Asked by Solomon
the base of vertical mast is on the same level ground with two points A and B. from the point A, 64m south of the mast, the angle of elevation of the top of the mast is 30⁰. B is 58m from A on a bearing of 050⁰. find correct to 3 s.f, the height of the tower. calculate, correct to the nearest degree, the angle of depression of B from the top of the tower.
Answers
Answered by
oobleck
If we label
T = top of tower
P = base of tower
h = PT = height of tower
h/64 = tan30°
using the law of cosines,
PB^2 = 64^2 + 58^2 - 2*64*58 cos50°
now you want θ = ∡PBT, so
h/PB = tanθ
T = top of tower
P = base of tower
h = PT = height of tower
h/64 = tan30°
using the law of cosines,
PB^2 = 64^2 + 58^2 - 2*64*58 cos50°
now you want θ = ∡PBT, so
h/PB = tanθ
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.